5(x+2y)-2(x-3y)=

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Solution for 5(x+2y)-2(x-3y)= equation:


Simplifying
5(x + 2y) + -2(x + -3y) = 0
(x * 5 + 2y * 5) + -2(x + -3y) = 0
(5x + 10y) + -2(x + -3y) = 0
5x + 10y + (x * -2 + -3y * -2) = 0
5x + 10y + (-2x + 6y) = 0

Reorder the terms:
5x + -2x + 10y + 6y = 0

Combine like terms: 5x + -2x = 3x
3x + 10y + 6y = 0

Combine like terms: 10y + 6y = 16y
3x + 16y = 0

Solving
3x + 16y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16y' to each side of the equation.
3x + 16y + -16y = 0 + -16y

Combine like terms: 16y + -16y = 0
3x + 0 = 0 + -16y
3x = 0 + -16y
Remove the zero:
3x = -16y

Divide each side by '3'.
x = -5.333333333y

Simplifying
x = -5.333333333y

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